8185725625 has 135 divisors (see below), whose sum is σ = 13363157577. Its totient is φ = 4994220000.

The previous prime is 8185725623. The next prime is 8185725671. The reversal of 8185725625 is 5265275818.

The square root of 8185725625 is 90475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 641760889 + 7543964736 = 25333^2 + 86856^2 .

It is not a de Polignac number, because 8185725625 - 2¹ = 8185725623 is a prime.

It is a super-2 number, since 2×8185725625² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1344000) is a multiple of the sum of its prime divisors (70).

It is not an unprimeable number, because it can be changed into a prime (8185725623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 174164352 + ... + 174164398.

Almost surely, 2^8185725625 is an apocalyptic number.

8185725625 is the 90475-th square number.

8185725625 is the 45238-th centered octagonal number.

It is an amenable number.

8185725625 is a deficient number, since it is larger than the sum of its proper divisors (5177431952).

8185725625 is an equidigital number, since it uses as much as digits as its factorization.

8185725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 70 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 49.

The cubic root of 8185725625 is about 2015.3588858059.

Multiplying 8185725625 by its sum of digits (49), we get a square (401100555625 = 633325²).

8185725625 divided by its sum of digits (49) gives a square (167055625 = 12925²).

The spelling of 8185725625 in words is "eight billion, one hundred eighty-five million, seven hundred twenty-five thousand, six hundred twenty-five".